To make a shade of paint call Jasper green mix 4 quarts of green paint with 2/3 cups of black paint how much green paint should be mixed with 4 cups of black paint to make Jasper green?

Respuesta :

Answer:  8 quarts of green paint is needed to be mixed with 4 cups of black paint to  make Jasper green.

Step-by-step explanation:

Since we have given that

To make a shade of paint call Jasper green,

[tex]\frac{2}{3}\text{ cups of black paint is needed to mix with 4 quarts of green.}[/tex]

So, we will use " Unitary method " i.e.

[tex]\text{ 1 cup of black paint is needed to mix ,}[/tex]

[tex]4\times \frac{3}{2}\text{ quarts of green paint }\\\\=6\text{ quarts of green paint}[/tex]

Now, we need to calculate how much of green paint is to be mix with  4 cups of black paint,

4 cups of black paint needs

[tex]4\times 2=8\text{ quarts of green color}[/tex]

Hence, 8 quarts of green paint is needed to be mixed with 4 cups of black paint to  make Jasper green.


Answer:

96 cups

Step-by-step explanation:

We need to have the same measurement to do calculations. We can convert qaurts into cups. The conversion factor is:

1 quart = 4 cups

Therefore:

[tex]=4\cdot{4}=16[/tex]

4 quartz is 16 cups.

So he must mix 16 cups of green paint with 2/3 cups of black paint. The ratio is:

[tex]=16/(2/3)=24[/tex]

24 cups of green paint to 1 cup of black paint. For 4 cups of black paint you need:

[tex]=24\cdot{4}=96[/tex]

96 cups of green paint

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